Section 322 Abstraction and Figuration
Equals is a word, a symbol, or a piece of logic, a very important logic, whether mathematical logic or philosophical logic, ancient and modern, Chinese and foreign, various schools, without this equal, it is difficult to describe.
Those who study theoretical mathematics will never ignore logic, and when they advance to the point where others cannot understand it, the logic of mathematics and the logic of philosophy will come together, because others can only understand it through philosophy, and it is difficult for others to understand it through mathematics.
Therefore, Qi Yuan studied with Professor Kuai, and the logical problems and philosophical concepts could not be bypassed, and for him, the current thinking was very familiar.
You know, for any specific natural subject, mathematics is a tool, a tool is used to solve a known problem, and if the problem does not match the tool, one can choose to improve the tool in order to solve the problem.
However, people who focus on making tools, except for looking for problems from the tools themselves, have the energy to find new problem requirements through other fields, and then improve the tools according to the problems.
Because of people's limited time and talent constraints, they have to wait for colleagues from other disciplines to discover new problems and put forward new tool needs.
But they can't just sit idle, they have to start with the tool itself until a new requirement is made, and what is the tool itself?
Theoretical mathematics, as it is, either starts without a goal or waits for a new goal.
Therefore, those geniuses with superior intelligence, who have crossed disciplines and learned more things, seem to be more relaxed than those who only specialize in one subject.
The so-called stones from other mountains can attack jade, and geniuses have the conditions to find problems and find ideas from more angles, which is a great advantage in itself.
Qi Yuan quickly found an object that could be compared in the extremely abstract "teaching materials", which gave him more breakthroughs that he could use to cut into.
The contemplation of the equal sign brought him a more intuitive confirmation.
In the equation where one plus one equals two, each character can find an analogy to the real thing.
For example, "one" is an apple, adding is to put "an apple" and "an apple" together, and "two" is two apples put together.
But as for the equal sign, maybe all the above things can be arranged in a certain order, which can be regarded as describing the equal sign in physical form.
But it wasn't a real thing, it was obvious that it was different from several other characters, and Qi Yuan preferred to classify them separately.
If we want to explain in more detail what is different about the "equal sign", it is that it is a "definition", "concept", more pure, and can only exist on the basis of extremely abstract human cognition of things.
Relatively speaking, whether it is "one", "two", or "plus", although they also have the characteristics of "concept", their existence forms are more diverse, detached from their original appearance, and can still be easily expressed.
Perhaps the character "plus" can be viewed in the same way, but the truth is still different.
To take the simplest example, an apple plus an apple equals two apples, but an apple plus a pear, can you simply write two after the equal sign?
Obviously, you can't write the equal sign, and to write the equal sign will fall into a more complex logical proof.
And the plus sign can be written, written casually, without proving anything, just thinking about whether to "add" or not.
This is similar to the relationship between points and axes, which can be seen as an "addition" relationship, and between points and axes, is an "equal" relationship.
They have something in common, they have intersecting parts, and at the same time they have their own characteristics and are incompatible with each other.
Qi Yuan breathed a sigh of relief, the "teaching materials" that he didn't know where to start seemed to have found an entry point, which was enough to feel gratified, after all, with the existence of mortal things, it was extremely rare to obtain a pass to spy on the knowledge of the gods.
But there is also an "origin," which is called the point of the original world, and how can we understand it? According to the "model" given by Bokab, it is the beginning of the creation of everything, which seems to be a copy of the "creationism" and "monism" that have been popular for a long time in modern theology on earth.
As a god, it seems reasonable for Bokab to know the world in this way.
But before meeting Qi Yuan, through part of Qi Yuan's memories, and knowing the earth, did he have any contact with the theology of the earth?
Qi Yuan knew that the goblin ** master had always held the emblem of Bokabu, and was trying to call it, but he never succeeded, it stands to reason that Bokabu was so far away from the earth, and it was not appropriate to come into contact with those theologies that had not even given birth to "gods".
However, Qi Yuan was not very confident, Bokabu crossed dozens of light years, appeared in the Earth-Moon system in an instant, and after Huang Xin disappeared, the power of correcting the Earth-Moon system's orbit around the Sun made him realize that the distance did not seem to have as much impact as previously estimated by the earth science community.
However, when Egaimani chased Qi Yuan, he clearly demonstrated his ability in speed, although it was far faster than the fastest way of progress that the humans on Earth currently mastered, but it had never exceeded the speed of light at all, and it could not ignore the obstacles of distance.
So how does Bocab do it?
The Lord of Magic was not only a step late, but when the god of war Jagoth fell, it was also the emblem that appeared, but failed to stop Egemani and the city of Seals in time.
Just eliminated Egaimani afterwards and saved Qi Yuan?
Thinking like this, Qi Yuan suddenly realized that how he survived was still in doubt!
There is no doubt that he followed the Seal City to appear in the Fusion World, and then followed the Seal City to leave the Fusion World, and when he entered, according to Bokab, it was because of the call of Egemani, so what about leaving?
Will it be Bokabe's expulsion?
However, Bokab is clearly looking for the Seal City, and if he has the ability to expel the Seal City, he should not be so difficult to find it.
I can't figure it out, if it weren't for Bokabu's expulsion, then Egaimani would have no reason to give up the great help of Seal City, and as a result, until he died at the hands of Bokabu, he didn't summon Seal City again......
Qi Yuan found that if there was no Bokabu's explanation from beginning to end, it would be impossible to straighten out the cause and effect of the matter on his own, and he could only give up thinking about this matter for the time being, because compared to understanding the world and learning the "teaching materials" in front of him, it is really not worth wasting time on what happened in the past.
However, the appearance of the word "cause and effect" made Qi Yuan find a small opening again, the philosophical "cause and effect theory" is familiar to many people, the so-called cause must have effect, and at the same time, we must be wary of the logical trap of "reverse effect for cause".
Now it seems that there is also an "equal sign" between cause and effect, if it is specific to something, there is no need to have an equal sign, but when it is large, there must be an "equal sign" between cause and effect!